Results 11 to 20 of about 1,802,459 (260)

On Prime Index of a Graph

open access: yesRatio Mathematica, 2023
In prime labeling, vertices are labeled from 1 to n, with the condition that any two adjacent vertices have relatively prime labels. Coprime labeling maintains the same criterion as prime labeling with adjacent vertices using any set of distinct positive
Janani R, Ramachandran T
doaj   +1 more source

Prime Slaughter: Playful Prime Numbers [PDF]

open access: yes, 2012
Starting from the difficulty of creating playful representation of domain-specific abstract concepts, this study discusses the design of Prime Slaughter, a computer game aimed at facilitating individual sense-making of abstract mathematical concepts. Specifically the game proposes a transposition of primality and factorization into playful interactions,
Valente, Andrea, Marchetti, Emanuela
openaire   +4 more sources

About finding of prime numbers that follow after given prime number without using computer

open access: yesДифференциальная геометрия многообразий фигур, 2020
It is shown how to define one or several prime numbers following af­ter given prime number without using computer only by calculating sev­eral arithmetic progressions. Five examples of finding such prime num­bers are given.
V.S. Malakhovsky
doaj   +1 more source

Jacob’s Ladder: Prime Numbers in 2D

open access: yesMathematical and Computational Applications, 2020
Prime numbers are one of the most intriguing figures in mathematics. Despite centuries of research, many questions remain still unsolved. In recent years, computer simulations are playing a fundamental role in the study of an immense variety of problems.
Alberto Fraile   +2 more
doaj   +1 more source

On some characteristics of subset of prime numbers

open access: yesДифференциальная геометрия многообразий фигур, 2019
The set of prime numbers p ≥ 5 is divided into two nonoverlapping subset P1 = {6k1 - 1}, P2 = {6k2 + 1}, where ki ⋲ A (i = 1,2). Subsets A1, A2 of natural numbers is defined by differences Ai = N\Bi, where B1, B2 are subset {j1}, {j2} defining subsets ...
V. Malakhovsky
doaj   +1 more source

The concept of prime number and the strategies used in explaining prime numbers

open access: yesSouth African Journal of Education, 2020
The teaching of mathematics does not only require the teacher to have knowledge about the subject, but the teacher also needs mathematical knowledge that is useful for the teaching and explaining thereof, as the teacher’s knowledge effects the students ...
Nejla Gürefe, Gülfem Sarpkaya Aktaş
doaj   +1 more source

Wave Transport and Localization in Prime Number Landscapes

open access: yesFrontiers in Physics, 2021
In this paper, we study the wave transport and localization properties of novel aperiodic structures that manifest the intrinsic complexity of prime number distributions in imaginary quadratic fields.
Luca Dal Negro   +4 more
doaj   +1 more source

On General Prime Number Theorems with Remainder [PDF]

open access: yes, 2017
We show that for Beurling generalized numbers the prime number theorem in remainder form $$\pi(x) = \operatorname*{Li}(x) + O\left(\frac{x}{\log^{n}x}\right) \quad \mbox{for all } n\in\mathbb{N}$$ is equivalent to (for some $a>0$) $$N(x) = ax + O\left ...
Debruyne, Gregory, Vindas, Jasson
core   +2 more sources

A Congruent Property of Gibonacci Number Modulo Prime

open access: yesInternational Journal of Analysis and Applications, 2023
Let a, b ∈ Z and p be a prime number such that a and b are not divisible by p. In this work, we give a congruent property modulo a prime number p of the gibonacci number defined by Gn = Gn−1 + Gn−2 with initial condition G1 = a, G2 = b.
Wipawee Tangjai   +3 more
doaj   +1 more source

A Relation between Prime Numbers and Twin Prime Numbers [PDF]

open access: yesMathematical and Computational Applications, 2001
Every mathematician has been concerned with prime numbers, and has metwith mysterious surprises about them. Besides intuition, using empirical methods has an important role to findrelations between prime numbers. A relation between any prime numberand any twin prime number has been obtained.
openaire   +2 more sources

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